1.

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, and the minimum length of the shortest side.

Answer»

Let the shortest side is x, then; 

Longest side = 3x; 

Third side = Longest side – 2 = 3x – 2 

Perimeter = 3x + 3x – 2 + x ≥ 61 ⇒ 7x – 2 ≥ 61 

⇒ 7x ≥ 61 + 2 ⇒ x ≥ \(\frac{36}{7} = 9\).



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